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Finding the Fourth Proportional to 1,546.07, 2,319.39 and 621.70

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Solution

The fourth proportional to 1,546.07, 2,319.39 and 621.70 is: 932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.07 : 2,319.39 = 621.70 : x
  2. Step 2: Convert to fraction form
    1,546.07/2,319.39 = 621.70/x
  3. Step 3: Cross multiply
    1,546.07x = 2,319.39 × 621.70
  4. Step 4: Simplify right side
    1,546.07x = 1,441,964.76
  5. Step 5: Solve for x
    x = 1,441,964.76/1,546.07
  6. Step 6: Final answer
    x = 932.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.